Abstract
Abstract We describe the use of cubic splines in regression models to represent the relationship between the response variable and a vector of covariates. This simple method can help prevent the problems that result from inappropriate linearity assumptions. We compare restricted cubic spline regression to nonāparametric procedures for characterizing the relationship between age and survival in the Stanford Heart Transplant data. We also provide an illustrative example in cancer therapeutics.
Keywords
Related Publications
Regression Splines in the Cox Model with Application to Covariate Effects in Liver Disease
Abstract The Cox proportional hazards model restricts the log hazard ratio to be linear in the covariates. A smooth nonlinear covariate effect may go undetected in this model bu...
Some Aspects of the Spline Smoothing Approach to Non-Parametric Regression Curve Fitting
SUMMARY Non-parametric regression using cubic splines is an attractive, flexible and widely-applicable approach to curve estimation. Although the basic idea was formulated many ...
Linear Smoothers and Additive Models
We study linear smoothers and their use in building nonparametric regression models. In the first part of this paper we examine certain aspects of linear smoothers for scatterpl...
Flexible smoothing with B-splines and penalties
B-splines are attractive for nonparametric modelling, but choosing the optimal number and positions of knots is a complex task. Equidistant knots can be used, but their small an...
Theory for penalised spline regression
Penalised spline regression is a popular new approach to smoothing, but its theoretical properties are not yet well understood. In this paper, mean squared error expressions and...
Publication Info
- Year
- 1989
- Type
- article
- Volume
- 8
- Issue
- 5
- Pages
- 551-561
- Citations
- 2604
- Access
- Closed
External Links
Social Impact
Social media, news, blog, policy document mentions
Citation Metrics
Cite This
Identifiers
- DOI
- 10.1002/sim.4780080504